Inferential Methods for the Tetrachoric Correlation Coefficient

Journal of Educational and Behavioral Statistics - Tập 30 Số 2 - Trang 213-225 - 2005
Douglas G. Bonett1, Robert M. Price2
1Iowa State University
2East Tennessee State University

Tóm tắt

The tetrachoric correlation describes the linear relation between two continuous variables that have each been measured on a dichotomous scale. The treatment of the point estimate, standard error, interval estimate, and sample size requirement for the tetrachoric correlation is cursory and incomplete in modern psychometric and behavioral statistics texts. A new and simple method of accurately approximating the tetrachoric correlation is introduced. The tetrachoric approximation is then used to derive a simple standard error, confidence interval, and sample size planning formula. The new confidence interval is shown to perform far better than the confidence interval computed by SAS. A method to improve the SAS confidence interval is proposed. All of the new results are computationally simple and are ideally suited for textbook and classroom presentations.

Từ khóa


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Thông tin
Thông tin xuất bản

Journal of Educational and Behavioral Statistics

Tập 30 Số 2

213-225

Thông tin tác giả